Pure and Applied Analysis
The study of analysis provides a basic understanding of qualitative and quantitative problem-solving techniques, the ability to analyze new areas of interest and the ability to interact with colleagues from other disciplines in a problem-solving situation. Modern applications of analysis include biomedical modeling, image analysis, robotic control, ecology, environmental modeling and financial engineering.
Faculty
Faculty involved with pure and applied analysis include:
- Pelin Guven Geredeli: Qualitative and quantitative analysis of partial differential equations.
- Quyuan Lin: Fluid dynamics, nonlinear PDEs, stochastic PDEs, machine learning for PDEs, geophysics.
- Shitao Liu: Inverse problems, boundary control theory, partial differential equations.
- Mishko Mitkovski: Complex analysis, harmonic analysis, operator theory.
- Martin Schmoll: [Geometric] control theory, differential topology, symplectic geometry, differential geometry, dynamical systems, in particular, polygonal billiards.
- Cody Stockdale: Harmonic analysis, complex analysis, partial differential equations and operator theory.
- J.R. Yoon: Medical imaging, inverse problems, elasticity theory, seismic inversion.
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Curriculum
Find out more about the curriculum and course descriptions for this interest area.
